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On strictly singular and strictly cosingular embeddings between Banach lattices of functions
Published online by Cambridge University Press: 26 July 2002
Abstract
Let E be a Banach function lattice such that L∞[0, 1] [rarrhk ] E [rarrhk ] L1[0, 1]. We characterize the strict singularity of the embedding L∞[0, 1] [rarrhk ] E and the strict cosingularity of E [rarrhk ] L1[0, 1] in terms of functionals defined by using characteristic functions.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 133 , Issue 1 , July 2002 , pp. 183 - 190
- Copyright
- 2002 Cambridge Philosophical Society
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